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Linear Equations in One Variable

SAT Math· difficulty 4/5

Which is the solution set of ∣2x+3∣>5|2x + 3| > 5?

  • A

    x<−4x < -4 or x>1x > 1

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  • B

    −1<x<4-1 < x < 4

  • C

    x>1x > 1

  • D

    x<−1x < -1 or x>4x > 4

Explanation

2x+3>5⇒x>12x + 3 > 5 \Rightarrow x > 1; 2x+3<−5⇒x<−42x + 3 < -5 \Rightarrow x < -4.

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